FORMULA SHEET (updated Apr.23/97) DEREK PAYNE s = d/t aav = VV/t D = Vot+1/2at2 V Vf2 = Vo2+2aD Vav = VD/t Vf = Vo+at Vins(tan) = VD/t R = √Fy2+Fx2 tanθ = Fy Fx Fx = Fcosθ Fy = Fsinθ ΣF = ma (w = mg) Ff = µkN Ff = µsN τ = Fl θrad =s/r ar = V2/r = (rω)2/r = rω2 d→r = π/180 r→d = 180/π rpm→rad/min = 2π/1 rev P = ρgh PT = ρgh+Pa ρ = m/V FB = wa-ww Pt = Pg+Patm W = Fd KE+VPE+VW+VQ+VV+VME = V PE = mgVh D = Df-Do Vav = Vf+Vo V = rω FB = ρgV (V = AVh) Pa = F/A(N/m2) Q = cmVT KE = 1/2mV2 (J) Rser = R1+R2 = 1+1 V = IR (V)(Ω) = (W) (A)(Ω) = (V) Rpar R1R2 a /sinA = b/sinB = c/sinC b2 = a2+c2-ac cosB c2 = a2+b2-ab cosC a2 = b2+c2-bc cosA Prec = 2(l+w) Pcir = 2πr Psq = 4s A = lw A = πr2 A = s2 Atri = 1/2bh Atrap = h/2(B+b) Acyl = 2πr2+2πrh V = lwh Vsph = 4/3πr3 Vcube = s3 Vpyr = 1/3Bh Vcone = 1/3πr2h V = πr2h Vprism = Bh LA = 2(lh+lw+wh) A = 4πr2 x = -b±√b2-4ac 2a y = ax2+bx+c (a≠0) y = mx+b (m≠0) m = Vy/Vx LA = 1/2ps LA = πrs